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2013311100 = 2235261110017
BaseRepresentation
bin111100000000000…
…1011000001111100
312012022101210121210
41320000023001330
513110401423400
6531440124420
7100614601443
oct17000130174
95168353553
102013311100
11943509479
12482306710
13261158058
14151561d5a
15bbb41950
hex7800b07c

2013311100 has 72 divisors (see below), whose sum is σ = 5920728688. Its totient is φ = 528076800.

The previous prime is 2013311099. The next prime is 2013311101. The reversal of 2013311100 is 11133102.

It is an interprime number because it is at equal distance from previous prime (2013311099) and next prime (2013311101).

It is a super-3 number, since 3×20133111003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013311101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36709 + ... + 73308.

Almost surely, 22013311100 is an apocalyptic number.

2013311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013311100 is an abundant number, since it is smaller than the sum of its proper divisors (3907417588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013311100 is a wasteful number, since it uses less digits than its factorization.

2013311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110095 (or 110088 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2013311100 is about 44869.9353687968. The cubic root of 2013311100 is about 1262.7100274704.

Adding to 2013311100 its reverse (11133102), we get a palindrome (2024444202).

The spelling of 2013311100 in words is "two billion, thirteen million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 110017 220034 330051 440068 550085 660102 1100170 1320204 1650255 2200340 2750425 3300510 5500850 6601020 6711037 8251275 11001700 13422074 16502550 20133111 26844148 33005100 33555185 40266222 67110370 80532444 100665555 134220740 167775925 201331110 335551850 402662220 503327775 671103700 1006655550 2013311100